81300655800 has 1152 divisors, whose sum is σ = 360336936960. Its totient is φ = 16572211200.

The previous prime is 81300655771. The next prime is 81300655801. The reversal of 81300655800 is 855600318.

81300655800 is a `hidden beast` number, since 8 + 13 + 0 + 0 + 65 + 580 + 0 = 666.

It is a super-4 number, since 4×81300655800⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81300655801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137100304 + ... + 137100896.

It is an arithmetic number, because the mean of its divisors is an integer number (312792480).

Almost surely, 2^81300655800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81300655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

81300655800 is an abundant number, since it is smaller than the sum of its proper divisors (279036281160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81300655800 is a wasteful number, since it uses less digits than its factorization.

81300655800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 81300655800 in words is "eighty-one billion, three hundred million, six hundred fifty-five thousand, eight hundred".